A cantilever beam ABCDE is loaded as shown. If the flexural rigidity is 5 kN-m?, determine the following using the double integration method: a. The general moment equation, M (section the beam at its rightmost segment; a 50% penalty will be given to those who will not follow this instruction) b. The slope equation of the beam, EIO c. The deflection equation of the beam, Ely d. The deflection at the middle of the beam DE e. The elastic curve of the beam. Create a table A showing the values of the slope, 0 (in degrees), and deflection y (in mm), at points A, B, C, D, and E of the beam. Plot these points to generate the elastic curve. M 1m+ 2 m 1m M = 16 Nm U = 40 N/m W = 80 N/m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4-4. Show your complete solution.
A cantilever beam ABCDE is loaded as shown. If the flexural rigidity is 5 kN:m?, determine the
following using the double integration method:
a. The general moment equation, M (section the beam
at its rightmost segment; a 50% penalty will be
given to those who will not follow this instruction)
b. The slope equation of the beam, Ele
c. The deflection equation of the beam, Ely
d. The deflection at the middle of the beam
U
e. The elastic curve of the beam. Create a table A
showing the values of the slope, 0 (in degrees), and
deflection y (in mm), at points A, B, C, D, and E of the
beam. Plot these points to generate the elastic curve.
M
+im-
2 m
2 m
1 m
M = 16 Nm
U = 40 N/m
W = 80 N/m
Transcribed Image Text:A cantilever beam ABCDE is loaded as shown. If the flexural rigidity is 5 kN:m?, determine the following using the double integration method: a. The general moment equation, M (section the beam at its rightmost segment; a 50% penalty will be given to those who will not follow this instruction) b. The slope equation of the beam, Ele c. The deflection equation of the beam, Ely d. The deflection at the middle of the beam U e. The elastic curve of the beam. Create a table A showing the values of the slope, 0 (in degrees), and deflection y (in mm), at points A, B, C, D, and E of the beam. Plot these points to generate the elastic curve. M +im- 2 m 2 m 1 m M = 16 Nm U = 40 N/m W = 80 N/m
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